Question

Show the following is a right triangle by using the pythagorean theorem. show your work.

Answer 1

Answer: Depicted below

Step-by-step explanation:

The Pythagorean Theorem is an equation that can prove a triangle is, in fact, a right triangle (a right triangle is a 3-sided shape that contains a right angle).

Secondly, we know that a and b are the legs of the triangle, and c is the hypotenuse (there’s an image that I’ve uploaded that shows the parts of a right triangle).

So, a = 8, b = 15 (you can switch these), and c = 17. So, the equation should look like this:

8^2 + 15^2 = 17^2 - simplify the powers (the caret symbol is used to identify a power)

64 + 225 = 289 - simplify the left side by adding

289 = 289 - the equation is true, meaning that the triangle is a right triangle

Answer 2

see below

Explanation:

a^2 + b^2 = c^2

a and b are the legs and c is the hypotenuse

15^2 + 8^2 = 17^2

225 + 64 = 289

289 = 289

Since this statement is true, this is a right triangle